If a2 + b2 + c2 + 3 = 2(a + b + c) then the value of (a + b + c) is?
A. 2
B. 3
C. 4
D. 5
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {a^2} + {b^2} + {c^2} + 3 = 2\left( {a + b + c} \right) \cr & \Rightarrow {a^2} + {b^2} + {c^2} + 3 = 2a + 2b + 2c \cr & \Rightarrow {a^2} - 2a + 1 + {b^2} - 2b + 1 + {c^2} - 2c + 1 = 0 \cr & \Rightarrow {\left( {a - 1} \right)^2} + {\left( {b - 1} \right)^2} + {\left( {c - 1} \right)^2} = 0 \cr & a = 1 \cr & b = 1 \cr & c = 1 \cr & \therefore \left( {a + b + c} \right) \cr & = 1 + 1 + 1 \cr & = 3 \cr} $$Related Questions on Algebra
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$ then the value of 8 × 2 is?
A. 6
B. 10
C. 14
D. 16
A. $$1 + \frac{1}{{x + 4}}$$
B. x + 4
C. $$\frac{1}{x}$$
D. $$\frac{{x + 4}}{x}$$
A. $$\frac{{20}}{{27}}$$
B. $$\frac{{27}}{{20}}$$
C. $$\frac{6}{8}$$
D. $$\frac{8}{6}$$
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